Working with Fractions

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Brahmagupta's formula: (a/b) × (c/d) = (a×c)/(b×d) To multiply fractions: 1. Multiply the numerators together 2. Multiply the denominators together 3. Simplify the result if possible Example: (2/3)

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Solution: (1/4) × 3 = (1/4) × (3/1) = (1×3)/(4×1) = 3/4 When multiplying a fraction by a whole number: 1. Write the whole number as a fraction with denominator 1 2. Apply the multiplication rule 3. S

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Cancelling common factors means dividing both numerator and denominator by their common factors before multiplying. Example: (12/7) × (5/24) Cancel 12 and 24 by dividing both by 12: = (1/7) × (5/2) =

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The area of a rectangle with fractional sides equals the product of its sides. If length = a/b units and breadth = c/d units, then Area = (a/b) × (c/d) square units This geometric representation hel

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The product is greater than both numbers when: Both numbers are greater than 1 Example: (4/3) × 4 = 16/3 ≈ 5.33 Both 4/3 > 1 and 4 > 1, so the product is greater than both. Relationship depends on w

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The product is smaller than both numbers when: Both numbers are between 0 and 1 Example: (3/4) × (2/5) = 6/20 = 3/10 = 0.3 Both 3/4 < 1 and 2/5 < 1, so the product 3/10 is less than both. This happe

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No, the order of multiplication does not matter (Commutative Property). (a/b) × (c/d) = (c/d) × (a/b) Example: (1/2) × (1/4) = 1/8 and (1/4) × (1/2) = 1/8 This is like how the area of a rectangle r

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The reciprocal of a fraction a/b is b/a. Key properties: • When a fraction is multiplied by its reciprocal, the product is 1 • (a/b) × (b/a) = 1 • Reciprocal of 3/5 is 5/3 • Reciprocal of whole numbe